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In: Statistics and Probability

Consider two logistic regression models: log(P(X)/(1-P(X)) = 0.1 + 0.2x1 + 0.3x2, and log(P(X)/(1-P(X)) = 0.1...

Consider two logistic regression models:

log(P(X)/(1-P(X)) = 0.1 + 0.2x1 + 0.3x2, and log(P(X)/(1-P(X)) = 0.1 - 0.2x1 - 0.3x2

Compute the corresponding likelihood of the data below. Which model is better?

x1 1.1 2.0 1.3 1.5 1.3
x2 2.0 1.2 1.2 1.4 2.1
Y 0 1 0 1 1

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